Power series for arctan(x/3)???

How does one go about finding the power series for this? I know that the derivative of arctan(x) = 1/(1+x^2), so if I think I can find the power series for arctan(x), which would just be integrating each term of the power series for 1/(1+x^2), but that (x/3) with the "/3" is throwing me off. How do I do it? Thanks.

How does one go about finding the power series for this? I know that the derivative of arctan(x) = 1/(1+x^2), so if I think I can find the power series for arctan(x), which would just be integrating each term of the power series for 1/(1+x^2), but that (x/3) with the "/3" is throwing me off. How do I do it? Thanks.

Now we can take a derivative to get

Now we can integrate to find f

Last edited by TheEmptySet; April 13th 2009 at 07:51 AM.
Reason: I made a mistake